-6x2 -6x +12 = 0

ax2 bx c = 0

a = -6

b = -6

c = 12

Δ = b2-4ac

Δ = -6² - (4 * -6 * 12)

Δ = 36 - (4*-72)

Δ = 36 - (-288)

Δ = 324      Δ > 0

-6x2-6x+12=0

x = -b ∓ √Δ 2a

x' = 6 - √324 2*-6 = 6 - 18.0 -12 = -12.0 -12 = 1.0

x" = 6 + √324 2*-6 = 6 + 18.0 -12 = 24.0 -12 = -2.0

x' = 36.0

x" = -72.0

S = {x ∈ R / x' = 36.0, x" = -72.0 }